基于摩擦与变形耗能的滚石切向恢复系数影响因素  

Influence Factors of Tangential Restitution Coefficient of Rolling Stone Based on Friction and Deformation Energy Dissipation

作　　者：黄福有 张路青[1] 周剑 马显东 Huang Fuyou;Zhang Luqing;Zhou Jian;Ma Xiandong(Key Laboratory of Shale Gas and Geoengineering,Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China;College of Earth and Planetary Sciences,University of Chinese Academy of Sciences,Beijing 100049,China;Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education,Beijing University of Technology,Beijing 100124,China)

机构地区：[1]中国科学院地质与地球物理研究所页岩气与地质工程重点实验室,北京100029 [2]中国科学院大学地球与行星科学学院,北京100049 [3]北京工业大学城市与工程安全减灾教育部重点实验室,北京100124

出　　处：《地球科学》2022年第12期4583-4595,共13页Earth Science

基　　金：国家重点研发计划项目(No.2019YFC1509703);第二次青藏高原综合科学考察研究资助项目(No.2019QZKK0904);中国科学院重点部署项目(No.KFZD-SW430);国家自然科学基金项目(No.41972287).

摘　　要：切向恢复系数是滚石碰撞回弹的重要控制参数,目前的理论公式不能完全反映其作用机制,这是滚石动力学研究的一个难点问题.为此,根据滚石不同的回弹状态,提出基于入射角度变化的切向力模型;进一步,以切向接触理论和动能定理为基础,考虑碰撞过程中切向的摩擦耗能与变形耗能,推导了切向恢复系数的理论公式;最后研究入射速度、入射角、被撞击物体的变形模量对切向恢复系数的影响.结果表明:滚动回弹的切向恢复系数主要受切向变形量的影响;滑动回弹时,入射速度对切向恢复系数的影响参数为■,切向恢复系数随着其增加而缓慢减少;入射角度对切向恢复系数的影响参数为■,切向恢复系数随其增加而增大;被撞击物体的变形模量对切向恢复系数的影响参数为■,切向恢复系数随其增加而增加.基于摩擦与变形耗能的切向恢复系数计算公式为滚石的碰撞回弹过程提供了新的计算模型.The tangential restitution coefficient is an important control parameter for the rebound of the rolling stone,and the current theoretical formula can not fully reflect its mechanism.Firstly,according to the different rebound states of the rolling stone,a tangential force model based on the change of incident angle is proposed.Further considering the tangential friction energy dissipation and deformation energy dissipation in the collision process,the theoretical formula of tangential restitution coefficient is derived based on tangential contact theory and kinetic energy theorem.Finally,the influence of various factors on the tangential restitution coefficient is studied.The results show that the tangential restitution coefficient of rolling rebound is mainly affected by tangential deformation.When the rolling stone slips,the influence parameter of incident velocity on the tangential restitution coefficient is ■,and the tangential restitution coefficient decreases slowly as it increases,while the influence parameter of incident angle on tangential restitution coefficient is cos ■,and the tangential restitution coefficient increases with its increase,the influence parameter of the deformation modulus of the impacted object on the tangential restitution coefficient is ■,and the tangential restitution coefficient increases with its increase.The tangential recovery coefficient based on friction and deformation energy dissipation provides a new computational model for the collision process of rolling stone.

关 键 词：滚石 斜碰撞 切向恢复系数 能量损失 影响因素 工程地质 

分 类 号：P642.21[天文地球—工程地质学]